16117659720000 has 560 divisors, whose sum is σ = 62326095515200. Its totient is φ = 4071824640000.

The previous prime is 16117659719977. The next prime is 16117659720049. The reversal of 16117659720000 is 2795671161.

16117659720000 is a `hidden beast` number, since 1 + 611 + 7 + 6 + 5 + 9 + 7 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20127270 + ... + 20912730.

Almost surely, 2^{16117659720000} is an apocalyptic number.

16117659720000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16117659720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31163047757600).

16117659720000 is an abundant number, since it is smaller than the sum of its proper divisors (46208435795200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16117659720000 is an equidigital number, since it uses as much as digits as its factorization.

16117659720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785521 (or 785490 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 16117659720000 in words is "sixteen trillion, one hundred seventeen billion, six hundred fifty-nine million, seven hundred twenty thousand".